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Factor the perfect square \( t \) \[ x^{2}-2 x+1 \]

Ask by Wagner Lindsey. in the United States
Mar 16,2025

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\( x^{2} - 2x + 1 = (x - 1)^2 \)

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The Deep Dive

Did you know that the expression \( x^{2}-2x+1 \) is actually a perfect square trinomial? It can be factored into \( (x-1)^{2} \). This means that \( x^{2}-2x+1 \) represents the square of the binomial \( (x-1) \)! Making real-world connections, perfect squares are all around us. For example, when you’re designing a garden or DIY project, using the concept of perfect squares can help ensure you get symmetrical and balanced shapes, leading to a visually appealing outcome! So, every time you spot a square structure, think of those nifty algebraic formulas behind the scenes!

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